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The phrase "a precise determination of" is correct and usable in written English.
It can be used when discussing the need for an exact or accurate assessment or conclusion regarding a specific subject or issue.
Example: "The study aims to provide a precise determination of the factors influencing climate change."
Alternatives: "an exact assessment of" or "a clear evaluation of".
Exact(60)
One advantage of determining the fluorescence in real time is a precise determination of the decay time for the molecular quantum mechanical transition, which is responsible for light emission.
A precise determination of Gabrielle's orbit will allow astronomers to calculate the mass of the 10th planet.
Eventually, enough references were found to ensure a precise determination of the behavior of the processor when in Decimal mode.
This correction is crucial for a precise determination of the shear modulus from the resonant frequencies.
In vitro techniques allow a precise determination of the effects of exogeneously applied neurotransmitters on the membrane potential, ionic currents and firing of the neurons.
Sometimes, information is limited and a precise determination of the volume of ore body is not possible.
The technique offers improved accuracy and a precise determination of thermal coefficient of the sample under test.
The resulting set-up ensures a precise determination of the tagging efficiency and of the photon flux.
Thermographic application needs high stability infrared detector with a precise determination of the amount of absorbed infrared flux.
In this way, we achieve a precise determination of the first interaction point of the two 511 keV photons.
The reconstruction of the rare probes requires a precise determination of the primary and secondary vertices that is performed in ALICE by the Inner Tracking System (ITS).
More suggestions(18)
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a precise equilibrium of
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com